Skip to content

Suggestion for changing the semantics of ** in case the first argument is 0 #5

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Open
yoni206 wants to merge 1 commit into
base: main
Choose a base branch
from
Open

Suggestion for changing the semantics of ** in case the first argument is 0 #5

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
6 changes: 3 additions & 3 deletions Theories/Ints.smt2
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -65,12 +65,12 @@

- ** as the exponentiation function if the second argument is non-negative.
That is (** m n) is m to the power of n. In particular, (= (** 0 0) 1) holds.
If n is strictly smaller than 0, then ** is defined so as to satisfy the formula
If n is strictly smaller than 0 then (= (** 0 n) 0). For any m different than 0,
** is defined so as to satisfy the formula

(= (** m n) (div 1 (** m (- n))))

So the following holds for all integers n < 0:
- (= (** 0 n) (div 1 0))
So the following holds for all integers n < 0 and m != 0:
- (= (** m n) (** m (- n))) if (= (abs m) 1)
- (= (** m n) 0) if (> (abs m) 1)

Expand Down